Xfem analysis - including buckling - of composite shells containing delamination

authored by: Wilhelm J.H. Rust, Saleh Yazdani, Peter Wriggers
Abstract: Based on a first-order shear-deformation theory a four-noded shell element is formulated for composite laminates with and without a delamination. Interlaminar stresses are calculated to evaluate a delamination criterion. The presentation will show how and how accurate. Once the danger of delamination is detected the displacement field is enriched in the sense of the eXtended FEM to account for a discontinuity at an arbitrary position. The remaining strength after starting delamination is simulated by a mixed-mode cohesive zone model based on energy release. Contact when reclosing a discontinuity is included. Large rotations are covered by Green's strain. The developed formulation is tested for shell problems by comparing its results with available benchmark tests for in- and out-of-plane load cases. The feasibility and practicality of the presented model and its advantage over the approach using two shell elements at the predefined plane of the discontinuity, connected by a third one, a cohesive zone element, is demonstrated. Then, linear and non-linear buckling analyses for composite laminates containing a delamination are performed. It is shown how imperfections of the delamination type, i.e. concerning the discontinuity, used for nonlinear analysis are based on the modes from linear buckling. The full process from starting with one layer of elements over detecting a delamination to simulating its growth and its interaction with buckling is outlined.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): University of Applied Sciences and Arts Hannover (HsH)
Type: Conference contribution
Pages: 8103-8114
No. of pages: 12
Publication date: 2016
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Artificial Intelligence, Applied Mathematics
Electronic version(s): https://doi.org/10.7712/100016.2398.10132 (Access: Open)
: Details in the research portal "Research@Leibniz University"

BibTeX

@inproceedings{9415698ef73f4b729515e187a5f40f2a,
title = "Xfem analysis - including buckling - of composite shells containing delamination",
abstract = "Based on a first-order shear-deformation theory a four-noded shell element is formulated for composite laminates with and without a delamination. Interlaminar stresses are calculated to evaluate a delamination criterion. The presentation will show how and how accurate. Once the danger of delamination is detected the displacement field is enriched in the sense of the eXtended FEM to account for a discontinuity at an arbitrary position. The remaining strength after starting delamination is simulated by a mixed-mode cohesive zone model based on energy release. Contact when reclosing a discontinuity is included. Large rotations are covered by Green's strain. The developed formulation is tested for shell problems by comparing its results with available benchmark tests for in- and out-of-plane load cases. The feasibility and practicality of the presented model and its advantage over the approach using two shell elements at the predefined plane of the discontinuity, connected by a third one, a cohesive zone element, is demonstrated. Then, linear and non-linear buckling analyses for composite laminates containing a delamination are performed. It is shown how imperfections of the delamination type, i.e. concerning the discontinuity, used for nonlinear analysis are based on the modes from linear buckling. The full process from starting with one layer of elements over detecting a delamination to simulating its growth and its interaction with buckling is outlined.",
keywords = "Buckling, Delamination, Shells, XFEM",
author = "Rust, {Wilhelm J.H.} and Saleh Yazdani and Peter Wriggers",
year = "2016",
doi = "10.7712/100016.2398.10132",
language = "English",
series = "ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering",
publisher = "National Technical University of Athens",
pages = "8103--8114",
editor = "M. Papadrakakis and V. Plevris and G. Stefanou and V. Papadopoulos",
booktitle = "ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering",
note = "7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016 ; Conference date: 05-06-2016 Through 10-06-2016",
}